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Finding the Fourth Proportional to 111,523.20, 167,284.80 and 78,280.80

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Solution

The fourth proportional to 111,523.20, 167,284.80 and 78,280.80 is: 117,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,523.20 : 167,284.80 = 78,280.80 : x
  2. Step 2: Convert to fraction form
    111,523.20/167,284.80 = 78,280.80/x
  3. Step 3: Cross multiply
    111,523.20x = 167,284.80 × 78,280.80
  4. Step 4: Simplify right side
    111,523.20x = 13,095,187,971.84
  5. Step 5: Solve for x
    x = 13,095,187,971.84/111,523.20
  6. Step 6: Final answer
    x = 117,421.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.